# Question

The amount of fill in a half-liter (500 ml) soft drink bottle is normally distributed. The process has a standard deviation of 5 ml. The mean is adjustable.

(a) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be under filled?

(b) A 99 percent probability?

(c) A 99.9 percent probability? Explain.

(a) Where should the mean be set to ensure a 95 percent probability that a half-liter bottle will not be under filled?

(b) A 99 percent probability?

(c) A 99.9 percent probability? Explain.

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